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Finding the Third Proportional to 47,915 and 100,795

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Solution

The third proportional to 47,915 and 100,795 is: 212,034.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,915 : 100,795 = 100,795 : x
  2. Step 2: Convert to fraction form
    47,915/100,795 = 100,795/x
  3. Step 3: Cross multiply
    47,915x = 100,795 × 100,795
  4. Step 4: Simplify right side
    47,915x = 10,159,632,025
  5. Step 5: Solve for x
    x = 10,159,632,025/47,915
  6. Step 6: Final answer
    x = 212,034.48

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.